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A field is 150m long and 100m wide. A plot (outside the field) 50m long and30m wide is dug to a depth of 8m and the earth taken out from the plot is spread evenly in the field. By how much is the level of field raised?

Answer:

Given details are, Length of field = 150m Width of field = 100m

Area of field = 150m × 100m = 15000m2

Length of plot = 50m

Breadth of the plot = 30m Depth = 8m

So, volume = l × b × h = 50×30×8 = 12000m3

Let raise in earth level of field on which it spread be ‘h’ metre Volume = l × b × h

h = volume / (l × b)

= 12000 / (50×30)

= 12000 / 1500

= 8cm

∴ The level of field is raised by 8cm.

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